Brian McLogan
What is the antiderivative of cosx
👉 Learn how to find the antiderivative (integral) of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as...
Brian McLogan
Find the antiderivative by simplifying first
👉 Learn how to find the antiderivative (integral) of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as...
Brian McLogan
Find the area enclosed by the two curves using your calculator
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Brian McLogan
Right hand riemann sum approximation
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Brian McLogan
How to use left hand riemann sum approximation
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Curated Video
Calculus: Finding Error Bound and Area of a Curve
The video involves solving an example in calculus involving finding the interval and error bound between a curve and the accessory axis. The process involves using the factor theorem, algebraic division, and factoring. The video also...
Virtually Passed
Conservation of Mechanical Energy Proof (2DoF)
Here is a quick math heavy proof of the conservation of mechanical energy in a 2 dimensional system. The proof in 3 dimensions is the exact same. Notice that the definition of the potential in the one dimensional system dV/dx = - F is...
Brian McLogan
Calc Unit 4 Simplifying a rational expression and then finding an antiderivative
Calc Unit 4 Simplifying a rational expression and then finding an antiderivative
Educator.com
Properties of the Definite Integral
What are the properties that can be associated with the definite integral? The AP Calculus video lists nine properties of the definite integral and provides explanations of why the properties hold for integrals in language that is simple...
Krista King Math
Properties of integrals
Use properties properly to evaluate a definite integral. Pupils watch an informative video to see how three different properties of integrals help with the evaluation of a definite integral. The presenter uses the properties to separate...
Krista King Math
U-Substitution in Definite Integrals
The process definitely works two ways. Viewers watch as the video shows how to use u-substitution to evaluate a definite integral. The presenter uses two different methods to evaluate the integral. One method substitutes the expression...
Krista King Math
Fundamental Theorem of Calculus Part 2
Use the Fundamental Theorem, not just look at it. Learners watch as the video walks viewers through finding the definite integral of a trigonometric function. The presenter provides helpful suggestions as she evaluates the example...
Educator.com
The Second Fundamental Theorem of Calculus
How many fundamental theorems are there? The Second Fundamental Theorem of Calculus is also known as the second part of the Fundamental Theorem of Calculus. Here's a video that introduces the theorem as the method to evaluate a definite...
Educator.com
Solving Integrals Using Substitution
The concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution makes...
3Blue1Brown
Integration and the Fundamental Theorem of Calculus | Essence of Calculus, Chapter 8
Integrate a great resource into your lesson plans. The eighth video in an 11-part series explains integration and the relationship between derivatives and integrals. The relationship between a car's velocity and its travel distance helps...
Educator.com
Volumes by Slicing
Find the volume of a rotational solid by integrating the area of a slice. The AP Calculus resource works through an example of finding the volume of a solid created by rotating a function about the x-axis. The presentation breaks the...
Educator.com
Volumes: Solids That are Not Solid of Revolution
Viewers learn how to calculate the volume when the cross section is not a circle by using the same principle as if it was a circle. The video goes through an example of finding the volume of a figure where the cross sections are squares...
Krista King Math
Integrals - Calculus
Introduce the opposite of differentiation. Pupils learn the basic definition of integration and how to integrate a polynomial. The video shows learners how the integral is the opposite of the derivative. Individuals see how to confirm...
Brightstorm
Approximating Area Using Rectangles
Finding area using rectangles—isn't that a little too simplistic for a calculus course? Viewers learn how to approximate area under a curve using rectangles in the first installment of a seven-part video series on the definite integral....
Educator.com
Volumes by Cylindrical Shells
Shells sometimes work better than washers. The AP Calculus video presents an example of finding the volume of a rotational solid by using the shell method. The method uses the integral of the lateral surface area of a cylinder as opposed...
Curated OER
Probability Density Functions
Beat the weatherman at his own game with this probability video! Sal shows students how to use probability density functions to predict random occurrences (such as rain). Probability problems - and inclement weather - are no match for...
Brightstorm
Definition of Antiderivatives - Concept
Antiderivatives means being against doing homework on derivatives, right? The first installment of a 12-part video series on antiderivatives and differential equations takes viewers through the definition of an antiderivative. It uses a...
Educator.com
Finding The Area Under a Curve Using Rectangles
Here's an AP Calculus video that provides a discussion on determining an approximate for the area under a curve by calculating the sum of areas of rectangles that is smaller than the area and by finding the sum of areas of rectangles...
Flipped Math
Calculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions
Connect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...